To solve the problem of infrared video image stabilization caused by parallax variation, the infrared video image stabilization algorithm based on joint camera path was proposed, which included four steps: preprocessing, joint camera path solving, multi-path optimization and motion compensation. Firstly, histogram equalization, feature point extraction, matching processing and pre-mapping were needed for infrared image. Then, each frame of image was divided into m×n grid cells, and local homography matrixs obtained from the corresponding grid in each frame were multiplied by the mapping motion representation based on the grid to obtain the joint camera path. Then, the path of the joint camera was smoothed by the strategy of ‘multi-path optimization’. Finally, the smooth path was used to stabilize the video. The experimental results show that this method can effectively deal with the nonlinear motion caused by parallax, which is better than the traditional image stabilization algorithm, and can achieve good image stabilization even when the feature points have partial occlusion.